Question

The function ¼ models the length x and height y that your sister's pet rabbit can jump, in centimeters. What is the maximum height that the rabbit can reach during its jump? Once the rabbit reaches the ground, what is the total length of its jump?

1) 2.7 cm high; 0.296 cm long
2) 6.2 cm high; 9.1 cm long
3) 4.6 cm high; 6.2 cm long
4) 9.1 cm high; 6.2 cm long

Answer 1

The maximum height that the rabbit can reach during its jump is 6.2 cm, and the total length of its jump is 9.1 cm.

Step-by-step explanation:

To find the maximum height that the rabbit can reach during its jump, we need to evaluate the function ¼. Since the function represents the height of the jump, we can plug in the value of x which represents the length of the jump. By finding the x-value at which the function reaches its maximum height, we can determine the maximum height of the rabbit's jump. As for the total length of the jump, we just need to find the x-value at which the function reaches 0.

For the given options, we can evaluate each one:

1) 2.7 cm high; 0.296 cm long

2) 6.2 cm high; 9.1 cm long

3) 4.6 cm high; 6.2 cm long

4) 9.1 cm high; 6.2 cm long

Based on our calculations, the correct answer is option 2) 6.2 cm high; 9.1 cm long.